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Finding the Fourth Proportional to 442.37, 663.46 and 168.41

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Solution

The fourth proportional to 442.37, 663.46 and 168.41 is: 252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.37 : 663.46 = 168.41 : x
  2. Step 2: Convert to fraction form
    442.37/663.46 = 168.41/x
  3. Step 3: Cross multiply
    442.37x = 663.46 × 168.41
  4. Step 4: Simplify right side
    442.37x = 111,733.30
  5. Step 5: Solve for x
    x = 111,733.30/442.37
  6. Step 6: Final answer
    x = 252.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.